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Finding the Third Proportional to 424,919 and 912,996

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Solution

The third proportional to 424,919 and 912,996 is: 1,961,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,919 : 912,996 = 912,996 : x
  2. Step 2: Convert to fraction form
    424,919/912,996 = 912,996/x
  3. Step 3: Cross multiply
    424,919x = 912,996 × 912,996
  4. Step 4: Simplify right side
    424,919x = 833,561,696,016
  5. Step 5: Solve for x
    x = 833,561,696,016/424,919
  6. Step 6: Final answer
    x = 1,961,695.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.